SOLUTIONS FOR NONLINEAR ELLIPTIC EQUATIONS WITH GENERAL WEIGHT IN THE SOBOLEV-HARDY SPACE

被引：0
作者：
Zhang, Yimin [1 ]
Yang, Jun [1 ]
Shen, Yaotian [1 ]
机构：
[1] S China Univ Technol, Dept Math, Guangzhou 510640, Guangdong, Peoples R China
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 139卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Morse theory; the PSC condition; critical groups; Sobolev-Hardy space; NONTRIVIAL SOLUTIONS; INEQUALITIES; EXISTENCE;
D O I：
10.1090/S0002-9939-2010-10468-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we apply Morse theory to study the existence of nontrivial solutions for nonlinear elliptic equations with general weight and Hardy potential in the Sobolev-Hardy space.
引用
收藏
页码：219 / 230
页数：12
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